-torsion free
On torsion free periodic rings
... rank torsion-free groups, see [7, ...nonnil torsion-free Abelian groups of rank two possess a unique minimal type, and their typeset has cardinality at most ...
7
On the cotypeset of torsion-free abelian groups
... two torsion-free quotient of A is ...a torsion-free group of rank two and B∩C B , B∩C C are two co-rank one pure subgroups of D such ...
13
Realization of simple torsion free A(n)-modules of finite degree having a non-integral central character.
... n free weight modules having fin ite ...ple torsion free m odule o f fin ite degree is a subm odule o f the tensor p ro d u ct o f a sim ple torsion free m odule o f degree 1 and a fin ...
102
Torsion free A<sup>1</sup>1 -modules of finite degree.
... be torsion free. We conclude th a t the only possible torsion free A ^-m odules having a 2-dimensional weight space are constructed using the modified Chari-Pressley construction applied to ...
91
On a Nonsingular Equation of Length 9 Over Torsion Free Groups
... S = {ag, ag −1 , f i, f i −1 , bc −1 , bd −1 be −1 , bh −1 , cd −1 , ce −1 , ch −1 , de −1 , dh −1 , eh −1 }. Since G is torsion free therefore it is clear that ag and ag −1 can not both hold at the same ...
15
Solving equations of length seven over torsion free groups
... Remark 1 In what follows much use will be made, often without explicit mention, of the fact that vertex labels correspond to closed paths in the star graph Γ and of the assumptions that G is torsion-free, G ...
14
Laws in torsion free nilpotent varieties, with particular reference to the laws of free nilpotent groups
... no torsion free varieties between the variety of metabelian groups of class 4 and N^, It also follows that if D is any other primitive idempotent of QS^ associated with X t h e n the isolated closure of ...
143
The power graph of a torsion free group
... of torsion-free groups. Our main results are that, for torsion-free nilpotent groups of class at most 2, and for groups in which every non-identity element lies in a unique maximal cyclic ...
21
-torsion free Acts Over Monoids
... - torsion freeness, all left stabilizing right ideals are left annihilating, and so by [14, Theorem 10], all principally weakly flat right Rees factor S-acts satisfy Condition (PWP), which is not ...all ...
11
Jordan k Derivations on Lie Ideals of Prime Γ Rings
... Abstract Let M be a Γ- ring and U a Lie ideal of M . Let d : M → M and k : Γ → Γ be additive mappings. Then d is a k- derivation on U of M if d(uαv) = d(u)αv + uk(α)v + uαd(v) is satisfied for all u, v ∈ U and α ∈ Γ. And ...
5
Quantum computing thanks to Bianchi groups
... other torsion-free subgroups of Bianchi groups and their corresponding 3-manifold such as the Bergé manifold that comes from the Bergé link L6a2 [with Γ − 3 (24)] or the so-called magic manifold ...
8
Graded transcendental extensions of graded fields
... 2.2. Gradings on polynomial rings. Throughout, Γ will be a torsion-free abelian group. Let R be a Γ -graded commutative ring and assume that H(R) contains no zero divisors. Localizing R at the ...
12
On Properties of Torsional Metric Spaces
... included torsion [1] in Einstein’s general relativity [2] ...with torsion [4] ...of torsion in space-time [6] and in a gravitational model of the strong interaction ...the torsion concept in ...
14
The group of endotrivial modules in the normal case
... Abstract. The group of endotrivial modules has recently been determined for a finite group having a normal Sylow p-subgroup. In this paper, we give and compare three different presen- tations of a ...
14
The group of homomorphisms of abelian torsion groups
... A reduced algebraically compact group is called adjusted if it has no torsion free direct summands... A reduced algebraically compact group A is the direct sum of an.[r] ...
12
On residualizing homomorphisms preserving quasiconvexity
... One can observe that if the group G is torsion-free then any its non-elemen- tary subgroup will be a G-subgroup. However, by far, not every subgroup in G will be quasiconvex (or a quasiretract). In the next ...
42
On soluble groups whose subnormal subgroups are inert
... To handle the inertial automorphisms mentioned in the introduction, we introduce some terminol- ogy. If γ is the automorphism of the torsion-free abelian group A such that (a γ ) n = a m ∀ a ∈ A (with m, n ...
8
Rings with involution whose symmetric elements are central
... The classification of such rings which are 2-torsion free is equivalent to the classification of Lie algebras.. that is symmetric, invariant and satisfies If.[r] ...
7
Characterization of the automorphisms having the lifting property in the category of abelian p groups
... a torsion group or torsion-free p-divisible group, then id A and −id A are the only automorphisms of A which possess the lifting property in the category of abelian ...
6
Modular Subgroups, Dessins d’Enfants and Elliptic K3 Surfaces
... Let us return to the index 36 torsion-free, genus zero congruence subgroups. As mentioned, the j-invariants for these are computed and tabulated in [10]; these are rational functions in terms of the ...
44